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Finding the Third Proportional to 473,218 and 709,098

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Solution

The third proportional to 473,218 and 709,098 is: 1,062,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,218 : 709,098 = 709,098 : x
  2. Step 2: Convert to fraction form
    473,218/709,098 = 709,098/x
  3. Step 3: Cross multiply
    473,218x = 709,098 × 709,098
  4. Step 4: Simplify right side
    473,218x = 502,819,973,604
  5. Step 5: Solve for x
    x = 502,819,973,604/473,218
  6. Step 6: Final answer
    x = 1,062,554.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.